$M$-strings and AdS${}_3$ solutions to M-theory with small $\mathcal{N}=(0,4)$ supersymmetry

Abstract

We construct a general class of (small) $\mathcal{N}=(0,4)$ superconformal solutions in M-theory of the form AdS${}_3\times S^3/{\mathbb{Z}}_k\times {\text{CY}}_2$, foliated over an interval. These solutions describe M-strings in M5-brane intersections. The $M$-strings support $(0,4)$ quiver CFTs that are in correspondence with our backgrounds. We compute the central charge and show that it scales linearly with the total number of $M$-strings. We introduce momentum charge, thus allowing for a description in terms of M(atrix) theory. Upon reduction to Type IIA, we find a new class of solutions with four Poincaré supercharges of the form AdS${}_2\times S^3\times {\text{CY}}_2\times \mathcal{I}$, that we extend to the massive IIA case. We generalise our constructions to provide a complete class of AdS${}_3$ solutions to M-theory with (0,4) supersymmetry and SU(2) structure. We also construct new $Ad{S}_2\times S^3\times {\text{M}}_4\times \mathcal{I}$ solutions to massive IIA, with M${}_4$ a 4d Kähler manifold and four Poincaré supercharges.

21 pages plus appendices. Various figures

Cited by in corpus (2)

• New $\mathcal{N}=(0,4)$ AdS${}_3$ near-horizons in Type IIB
• Electrostatic description of 3d $\mathcal{N}=4$ linear quivers